Simultaneous external and internal stabilization of linear systems with input saturation and non-input-additive sustained disturbances

Xu Wang, Ali Saberi, H°avard Fjær Grip, Antonie Arij Stoorvogel

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    Abstract

    In this paper, we study simultaneous external and internal stabilization of the linear system under input saturation and non-input additive sustained disturbances. For systems that are asymptotic null controllable with bounded control, it is shown that a nonlinear dynamic feedback controller can be designed so that the closed-loop states remain bounded for any initial condition and for two classes of sustained disturbances, and that the equilibrium in the absence of disturbances is globally asymptotically stable.
    Original languageUndefined
    Pages (from-to)2633-2639
    Number of pages7
    JournalAutomatica
    Volume48
    Issue number10
    DOIs
    Publication statusPublished - Oct 2012

    Keywords

    • EWI-22151
    • Input saturation
    • IR-81229
    • Simultaneous stabilization
    • METIS-289668
    • Low-and-high gain feedback

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